论文标题
二次和第二次喷射的CR映射的无穷小型自动形态
Infinitesimal automorphisms of quadrics and second jet determination for CR mappings
论文作者
论文摘要
我们考虑一个问题，是否在复杂空间中通用歧管的Cr映射是由其在某个点上的有限喷射所唯一决定的，该射流被称为有限的射流测定。我们得出了平滑的Levi levi非排效歧管的CR映射的有限射流测定，该歧管是从相应四肢的无穷小型自动形式的代数的有限尺寸中得出的。以前，这一含义以实际的分析歧管而闻名。我们证明了一个新的2种喷火测定结果，该结果涵盖了到目前为止获得的最肯定结果。
We consider a problem whether a CR mapping of a generic manifold in complex space is uniquely determined by its finite jet at a point, which is referred to as finite jet determination. We derive the finite jet determination for CR mappings of smooth Levi nondegenerate manifolds of arbitrary codimension from the finite dimensionality of the algebras of infinitesimal automorphisms of the corresponding quadrics. Previously, this implication was known for real analytic manifolds. We prove a new 2-jet determination result that covers most affirmative results on this matter obtained so far.
